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N&S Chapter 3: Quadratic problems
Goal:
How to solve an(y) equation of the form
a
x
2
+
b
x
+
c
=
0
(or determine there are no solutions.)
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Slide 1:
Slide
Wiskunde
Middelbare school
vwo
Leerjaar 3
This lesson contains
19 slides
, with
interactive quizzes
and
text slides
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Items in this lesson
Goal:
How to solve an(y) equation of the form
a
x
2
+
b
x
+
c
=
0
(or determine there are no solutions.)
Slide 1 - Slide
a
=
0
a
x
2
+
b
x
+
c
=
0
That's a linear equation ...
Slide 2 - Slide
b
=
0
a
x
2
+
b
x
+
c
=
0
Slide 3 - Slide
Solve
x
2
−
9
=
0
Slide 4 - Open question
Solve
x
2
+
9
=
0
Slide 5 - Open question
2 solutions
1 solution
no solutions
Slide 6 - Drag question
c
=
0
a
x
2
+
b
x
+
c
=
0
Slide 7 - Slide
Solve
x
2
−
9
x
=
0
Slide 8 - Open question
Solve
x
2
+
9
x
=
0
Slide 9 - Open question
a
≠
0
∧
b
≠
0
∧
c
≠
0
a
x
2
+
b
x
+
c
=
0
Slide 10 - Slide
solve
x
2
+
6
x
−
1
6
=
0
Slide 11 - Open question
Can you solve the equation in one go?
Slide 12 - Slide
Solve
(
x
+
2
)
2
=
9
Slide 13 - Open question
Solve
(
x
+
2
)
(
2
x
−
5
)
=
0
Slide 14 - Open question
Multiply out brackets
Don't multiply out brackets
Slide 15 - Drag question
Solving quadratic equations.
(If they don't have obvious solutions.)
Slide 16 - Slide
Steps:
Multiply out brackets
Write in form
Write in form
Determine which solution method you need
a
x
2
+
b
x
+
c
=
0
x
2
+
a
b
x
+
a
c
=
0
Slide 17 - Slide
b=0
c=0
a,b,c =/= 0
Slide 18 - Drag question
Exercise
15, 17, 18
Slide 19 - Slide
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